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Engineering Physics · Q26

Classical Mechanics

Engineering and GATE · Engineering Physics · question 26

Q26

The Lagrangian forthe Kepler problem is given by L = 1/2 [ r^2 + r^2 ^2 ] + /r\,\,\,\,\,\,\, ( > 0 ) where, ( r,\, ) denotes the polar coordinates and mass of the particle is unity, then

The Lagrangian forthe Kepler problem is given by
where,  denotes the polar coordinates and mass of the particle is unity, then
A.
B.
C.
the angular momentum of the particle about the centre of attraction is a constant
Answer
D.
the total energy of the particle is time dependent

Answer: Option C

Solution

Answer: Option C
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